Source / pinned edition
Bernoulli’s Equation
Source of package openstax.fluids_waves · OpenStax University Physics, ch. 14 Fluid Mechanics, module m58358
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- urn:openstax:clir:fluids-oscillations-waves#M58358
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- OpenStax University Physics, ch. 14 Fluid Mechanics, module m58358
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- urn:openstax:clir:fluids-oscillations-waves#treatise
m58358/index.cnxml at commit d0ed34a (main, 2026-06-11)
- edition
- urn:openstax:clir:fluids-oscillations-waves#M58358_MAIN
- language
- en
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- official
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- adopted: 2026-06-11
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58358/index.cnxml | application/xml; charset=utf-8 | sha256:b107a3085f16288b84536a51b8df0eb8a98a668fef18ff79e647fb105d33fa60 | 2026-09-06T00:00:00Z |
Fragments — 2
module/m58358#fs-id1170959795981 · defn · referenced by: 7
en · official · sha256:97dcacc94f12c2520aa852d1cb103ad9e5f1a023a7ccd895d16760527cff4007
<definition id="fs-id1170959795981">
<term>Bernoulli’s equation</term>
<meaning id="fs-id1170959795986">equation resulting from applying conservation of energy to an incompressible frictionless fluid: <m:math><m:mrow><m:mi>p</m:mi><m:mo>+</m:mo><m:mfrac><m:mn>1</m:mn><m:mn>2</m:mn></m:mfrac><m:mi>ρ</m:mi><m:msup><m:mi>v</m:mi><m:mn>2</m:mn></m:msup><m:mo>+</m:mo><m:mi>ρ</m:mi><m:mi>g</m:mi><m:mi>h</m:mi><m:mo>=</m:mo><m:mtext>constant</m:mtext><m:mo>,</m:mo></m:mrow></m:math> throughout the fluid</meaning>
</definition>Referencing norms: BernoulliSumAtSection, BernoulliSumsAgree, BernoulliSumsDisagree, DynamicPressureFromDensityAndSpeed, flow_density_and_speed, section_of, static_pressure
module/m58358#fs-id1170957574182 · defn
en · official · sha256:e67e7b6dfc44c8831f323d607d0a951766808348ffbea3bfdb3604a8570d7205
<definition id="fs-id1170957574182">
<term>Bernoulli’s principle</term>
<meaning id="fs-id1170957574188">Bernoulli’s equation applied at constant depth:
<equation id="fs-id1170957604376" class="unnumbered"><label/><m:math><m:mrow><m:msub><m:mi>p</m:mi><m:mn>1</m:mn></m:msub><m:mo>+</m:mo><m:mfrac><m:mn>1</m:mn><m:mn>2</m:mn></m:mfrac><m:mi>ρ</m:mi><m:msubsup><m:mi>v</m:mi><m:mn>1</m:mn><m:mn>2</m:mn></m:msubsup><m:mo>=</m:mo><m:msub><m:mi>p</m:mi><m:mn>2</m:mn></m:msub><m:mo>+</m:mo><m:mfrac><m:mn>1</m:mn><m:mn>2</m:mn></m:mfrac><m:mi>ρ</m:mi><m:msubsup><m:mi>v</m:mi><m:mn>2</m:mn><m:mn>2</m:mn></m:msubsup></m:mrow></m:math></equation></meaning>
</definition>The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.